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Guy drives 60 miles to attend a meeting. Halfway through, he increases
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09 Nov 2016, 00:03

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71%(03:13) correct 29%(03:18) wrong based on 224 sessions

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Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

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16 Nov 2016, 10:40

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Bunuel wrote:

Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

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09 Nov 2016, 00:38

1

1

Bunuel wrote:

Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

A. 12B. 14C. 16D. 24E. 40

IMO DLet x be the average speed for 1st half of the distance. Then the average speed for 2nd half of the distance will be x+16avg speed= total distance/total time30 = 60/{(30/x) + (30/(x+16))}Solving we getx^2-14x-240=0x= -10 or 24x cant be negative hence x= 24

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09 Nov 2016, 05:17

1

1

Bunuel wrote:

Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

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16 Nov 2016, 10:55

Bunuel wrote:

Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

A. 12B. 14C. 16D. 24E. 40

I assigned values for first segment speed = x. time for first segment 30/xsecond part of the trip, speed = x+16. time for second segment 30/x+16

we are told the average speed, we know the total time, and we know the total distance. we can find X.

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24 May 2017, 22:58

Bunuel wrote:

Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

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31 May 2017, 19:00

Bunuel wrote:

Guy drives 60 miles to attend a meeting. Halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. His average speed for the entire trip is 30 miles per hour. Guy drives on average how many miles per hour during the first half of the way?

A. 12B. 14C. 16D. 24E. 40

We can let the rate for the first half of the trip = r and the rate for the second half = r + 16. We also know that the distance for the first half = 30 and for the second half = 30. Thus, the time for the first half is 30/r and the time for the second half is 30/(r + 16).

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24 Oct 2018, 13:16

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